Some questions which may or may not have ambiguous answers
Junior Quantitative Analyst Interview Questions
10,234 junior quantitative analyst interview questions shared by candidates
Expected value, statistics, dice problems
What strategy would you employ if given the chance to play this game: You receive the amount of dollars shown on the face of a die. You may re-roll the die at most 3 times, but it costs $0.7 to reroll.
Probability and expected value questions.
You pick n points independently and uniformly at random on the circumference of a circle. 1. What is the probability P(n) that all n points lie within some semicircle of the circle? 2. Simplify your answer to a closed‐form in terms of n.
Make markets on dice/card games
The phone interviewer asked me two brainteaser/probability questions. One was a typical probability of picking a matching pair of socks if you have a certain number of similar socks in a drawer.
On an elevator and 2 other people enter expected value of the number of times the elevator stops
1. Initial Phone/Zoom Screen • Mental math: Fast, accurate calculations without a calculator (e.g., expected values, probability puzzles, number manipulation). • Logic and probability puzzles: Think of problems involving coins, dice, cards, or Bayesian reasoning. It’s less about prior knowledge and more about thinking out loud and asking the right questions. • Communication: They want to see how clearly and precisely you explain your thought process. 2. Follow-up Technical Interviews • More in-depth problems: These might be longer or more open-ended than the initial screen. They often involve iterating on a solution as the interviewer adds constraints. • Game theory, probability, statistics, estimation questions. • Programming (if applicable): For quant research roles, there might be some Python or OCaml-style thinking, but usually less coding and more algorithmic logic.
1. What is the expectation of the product of two die rolls? 2. Instead of die imagine drawing cards with the same numbers written on the cards but without replacement, is the expected value of the product smaller/larger/the same comparing to 1? 3. You can split the deck of cards from 2 into two piles. Then you draw a random card form the first and the second piles and compute the product of numbers written on the two cards. How do you split the deck to maximize the expectation of the product? 4. Some other game that involves 10 cakes with 9 being of one flavor, and one being of a different flavor, and the task is to guess correctly as many flavors as you can, but I don't remember the exact rules.
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